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244001100144 = 24316730439259
BaseRepresentation
bin1110001100111110011…
…0010101000101110000
3212022210212010011120010
43203033212111011300
512444203240201034
6304031554214520
723425401062544
oct3431746250560
9768725104503
10244001100144
1194531294a7a
123b357584440
131a0172b9ac9
14bb49c0ba24
15653134c3e9
hex38cf995170

244001100144 has 40 divisors (see below), whose sum is σ = 634110664320. Its totient is φ = 80846669248.

The previous prime is 244001100137. The next prime is 244001100149. The reversal of 244001100144 is 441001100442.

244001100144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 244001100144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244001100149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15211614 + ... + 15227645.

It is an arithmetic number, because the mean of its divisors is an integer number (15852766608).

Almost surely, 2244001100144 is an apocalyptic number.

244001100144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244001100144 is an abundant number, since it is smaller than the sum of its proper divisors (390109564176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244001100144 is a wasteful number, since it uses less digits than its factorization.

244001100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30439437 (or 30439431 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 244001100144 its reverse (441001100442), we get a palindrome (685002200586).

The spelling of 244001100144 in words is "two hundred forty-four billion, one million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 30439259 60878518 91317777 121757036 182635554 243514072 365271108 487028144 730542216 1461084432 5083356253 10166712506 15250068759 20333425012 30500137518 40666850024 61000275036 81333700048 122000550072 244001100144